iflogx 0 1 3 then the value of x is, Logarithms, General Mathematics

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Question:If $log_x (0.1) = - 1/3,$  then the value of x is :

A  $10$  
B  $100$  
C  $1000$  
D  $1/1000$

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+ AnswerC

+ Explanation $log_x (0.1) = - 1/3 ⇔ x^- 1/3$ 

 $= 0.1 ⇔ 1/(x^1/3)$ 

 $= 0.1$ 

 $:. x^1/3$ 

 $= 1/0.1$ 

 $= 10 or x = (10)^3$ 

 $= 1000.$

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